Gompertz curve


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Gompertz curve

[′gäm‚pərts ‚kərv]
(statistics)
A curve similar to the exponential curve except that the constant a is raised to the b x power instead of the x power; used in fitting a trend line to a nonlinear time series.
References in periodicals archive ?
Length-at-age was fit with three models; the von Bertalanffy and Gompertz curve fits are shown in Figure 1.
The relationship of growth of vehicle ownership and GDP per capita can be modeled in specific form, and an improvement has been carried out based on the most usually used Gompertz curve in order to obtain a better fitting projection.
Gompertz curve can be used to establish the functional relationship between safety investment and accident probability of items.
Winsor, "The Gompertz curve as a growth curve," Proceedings of the National Academy of Sciences of the United States of America, vol.
Equation (11) (a modification of Gompertz curve equation in order to predict concrete's compressive strength) is widely used.
It should be noted here that the Gompertz curve describes aging dynamics of wide class of eukaryotic organisms from the colonies of yeast up to the higher mammals including humans.
Gompertz curve characteristic were around the inflection point where maximum growth rate is achieved (Fialho 1999).
(2011) and the Gompertz curve was fitted to the Mengali sheep data.
(1999) [15] used four procedures to estimate cumulative percentage at unmeasured particle size, including log-linear and spline interpolation methods, Gompertz curve regression method, and similarity method.
Gompertz Curve: The logistic curve closely resembles the half normal curve whereas the Gompertz curve is not normal but a skewed one.
The Gompertz curve has the following mathematical formulation: